On the convergence and summability of series with respect to block-orthonormal systems | Zendy

G. Nadibaidze | Zendy

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On the convergence and summability of series with respect to block-orthonormal systems

Author(s) -

G. Nadibaidze

Publication year - 1995

Publication title -

georgian mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.277

H-Index - 27

eISSN - 1572-9176

pISSN - 1072-947X

DOI - 10.1007/bf02259671

Subject(s) - mathematics , orthonormal basis , block (permutation group theory) , series (stratigraphy) , convergence (economics) , unconditional convergence , pure mathematics , rate of convergence , combinatorics , compact convergence , computer science , key (lock) , paleontology , physics , computer security , quantum mechanics , economics , biology , economic growth

Statements connected with the so-called block-orthonormalized systems are given. The convergence and summability almost everywhere by the (c, 1) method with respect to such systems are considered. In particular, the well-known theorems of Menshov-Rademacher and Kacmarz on the convergence and (c, 1)-summability almost everywhere of orthogonal series are generalized.

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